Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-12-29
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, 2 figures, in Pros. of II Helmholtz International Summer School "Heavy quark physics"
Scientific paper
We study the heavy-quark contributions to the proton structure functions $F_2^i(x,Q^2)$ and $F_L^i(x,Q^2)$, with $i=c,b$, for small values of Bjorken's $x$ variable and provide compact formulas for their ratios $R_i=F_L^i/F_2^i$ that are useful to extract $F_2^i(x,Q^2)$ from measurements of the doubly differential cross section of inclusive deep-inelastic scattering at DESY HERA. Our approach naturally explains why $R_i$ is approximately independent of $x$ and the details of the parton distribution functions in the low-$x$ regime.
Illarionov Alexei Yu.
Kniehl Bernd A.
Kotikov Anatoly V.
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